Question

Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth of the value of the first prize, and the value of the third prize four-fifth of the second prize. If the total value of the three prizes is ₹1500, then the value of third prize is

• A. ₹400
• B. ₹500
• C. ₹600
• D. ₹700

Answer 1

The correct option is A ₹400

Let the value of the first prize be $x$.
Value of the second prize $=\frac{5}{6}\times x=\frac{5}{6}x$
Value of the third prize $=\frac{4}{5}\times \frac{5}{6}x=\frac{4}{6}x$
Given,
total value of the three prizes = ₹1500
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\Rightarrow x+\frac{5}{6}x+\frac{4}{6}x=₹1500$
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\Rightarrow \frac{15}{6}x=₹1500$
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\Rightarrow 15x=₹1500\times 6$
$\Rightarrow x=\frac{₹1500}{15}\times 6=₹600$
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ∴ Value of the third prize$=\frac{4}{6}x$
$=\frac{4}{6}\times 600=₹400$